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As power systems transition toward renewable-rich and inverter-dominated operations, accurate time-domain dynamic analysis becomes increasingly critical. Such analysis supports key operational tasks, including transient stability…

Artificial Intelligence · Computer Science 2026-04-17 Haoran Li , Lihao Mai , Chenhan Xiao , Erik Blasch , Yang Weng

An alternative to the well-known complete form of the Mie-Gr\"uneisen equation of state (EOS) for water is suggested. A closed analytical description of the self-consistent EOS for an arbitrary medium based only on the first law of…

Fluid Dynamics · Physics 2023-05-02 Sergey G. Chefranov

EOS is an open-source software for a variety of computational tasks in flavor physics. Its use cases include theory predictions within and beyond the Standard Model of particle physics, Bayesian inference of theory parameters from…

We introduce machine learning (ML) models that predict the electronic structure of materials across a wide temperature range. Our models employ neural networks and are trained on density functional theory (DFT) data. Unlike most other ML…

Materials Science · Physics 2023-10-02 Lenz Fiedler , Normand A. Modine , Kyle D. Miller , Attila Cangi

Machine-learning potentials are usually trained on the ground-state, Born-Oppenheimer energy surface, which depends exclusively on the atomic positions and not on the simulation temperature. This disregards the effect of thermally-excited…

Materials Science · Physics 2022-09-30 Chiheb Ben Mahmoud , Federico Grasselli , Michele Ceriotti

Augmenting mechanistic ordinary differential equation (ODE) models with machine-learnable structures is an novel approach to create highly accurate, low-dimensional models of engineering systems incorporating both expert knowledge and…

Dynamical Systems · Mathematics 2022-06-22 Sandor Beregi , David A. W. Barton , Djamel Rezgui , Simon A. Neild

We propose a means for constructing highly accurate equations of state (EOS) for elemental solids and liquids essentially from first principles, based upon a particular decomposition of the underlying condensed matter Hamiltonian for the…

Materials Science · Physics 2009-11-07 Eric D. Chisolm , Scott D. Crockett , Duane C. Wallace

We develop a machine learning model based on a structured variational autoencoder (VAE) framework to reconstruct and generate neutron star (NS) equations of state (EOS). The VAE consists of an encoder network that maps high-dimensional EOS…

High Energy Astrophysical Phenomena · Physics 2026-01-30 Alex Ross , Tianqi Zhao , Sanjay Reddy

Core-collapse supernovae are sources of powerful gravitational waves (GWs). We assess the possibility of extracting information about the equation of state (EOS) of high density matter from the GW signal. We use the bounce and early…

High Energy Astrophysical Phenomena · Physics 2024-04-09 Ayan Mitra , Daniil Orel , Y. Sultan Abylkairov , Bekdaulet Shukirgaliyev , Ernazar Abdikamalov

A novel lattice Boltzmann (LB) model with self-tuning equation of state (EOS) is developed in this work for simulating coupled thermo-hydrodynamic flows. The velocity field is solved by the recently developed multiple-relaxation-time (MRT)…

Computational Physics · Physics 2019-06-26 Rongzong Huang , Huiying Wu , Nikolaus A. Adams

We show that thermodynamic scaling can be derived by combining the Murnaghan equation of state (EOS) with the generalized entropy theory (GET) of glass formation. In our theory, thermodynamic scaling arises in the non-Arrhenius relaxation…

Soft Condensed Matter · Physics 2021-03-18 Jack F. Douglas , Wen-Sheng Xu

Recent work in deep learning focuses on solving physical systems in the Ordinary Differential Equation or Partial Differential Equation. This current work proposed a variant of Convolutional Neural Networks (CNNs) that can learn the hidden…

Machine Learning · Computer Science 2021-11-02 Mansura Habiba , Barak A. Pearlmutter

Data-driven modeling of dynamical systems is a crucial area of machine learning. In many scenarios, a thorough understanding of the model's behavior becomes essential for practical applications. For instance, understanding the behavior of a…

Machine Learning · Computer Science 2025-04-14 Krzysztof Kacprzyk , Mihaela van der Schaar

The operator learning has received significant attention in recent years, with the aim of learning a mapping between function spaces. Prior works have proposed deep neural networks (DNNs) for learning such a mapping, enabling the learning…

Machine Learning · Statistics 2024-02-15 Yusuke Tanaka , Takaharu Yaguchi , Tomoharu Iwata , Naonori Ueda

We study the existence and properties of the non-equilibrium steady state which arises by putting two copies of systems at different temperatures into a thermal contact. We solve the problem for the relativistic systems that are described…

Statistical Mechanics · Physics 2016-03-23 Razieh Pourhasan

Equations of state (EOS) calculated from a computationally efficient atom-in-jellium treatment of the electronic structure have recently been shown to be consistent with more rigorous path integral Monte Carlo (PIMC) and quantum molecular…

State estimation is required whenever we deal with high-dimensional dynamical systems, as the complete measurement is often unavailable. It is key to gaining insight, performing control or optimizing design tasks. Most deep learning-based…

Machine Learning · Computer Science 2022-03-15 Yash Kumar , Souvik Chakraborty

We consider the prediction of a basic thermodynamic property---hydration free energies---across a large subset of the chemical space of small organic molecules. Our in silico study is based on computer simulations at the atomistic level…

Chemical Physics · Physics 2020-07-02 Clemens Rauer , Tristan Bereau

The bulk kinematics and thermodynamics of hot supernovae-driven galactic winds is critically dependent on both the amount of swept up cool clouds and non-spherical collimated flow geometry. However, accurately parameterizing these physics…

Astrophysics of Galaxies · Physics 2023-06-27 Dustin D. Nguyen

Macroscale continuum mechanics simulations rely on material properties stemming from the microscale, which are normally described using phenomenological equations of state (EOS). A method is proposed for the automatic generation of…

Computational Physics · Physics 2020-01-01 Oliver Strickson , Nikos Nikiforakis , Emilio Artacho